2827898008000 has 448 divisors, whose sum is σ = 7618344814080. Its totient is φ = 1033648128000.

The previous prime is 2827898007989. The next prime is 2827898008007. The reversal of 2827898008000 is 8008987282.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2827898008007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7581495814 + ... + 7581496186.

It is an arithmetic number, because the mean of its divisors is an integer number (17005233960).

Almost surely, 2^{2827898008000} is an apocalyptic number.

2827898008000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2827898008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3809172407040).

2827898008000 is an abundant number, since it is smaller than the sum of its proper divisors (4790446806080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2827898008000 is a wasteful number, since it uses less digits than its factorization.

2827898008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 52.

The spelling of 2827898008000 in words is "two trillion, eight hundred twenty-seven billion, eight hundred ninety-eight million, eight thousand".